Line AB passes through points A(−6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y=mx+b, then m=m equals negative StartFraction 1 Over 6 EndFraction.. What is the value of b?

−6
−5
5
6
I will give brainliest

Answer:

10 gallons of juice

Step-by-step explanation:

Answer: 33

Step-by-step explanation:

From the question, a trial of 10 filters shows the effective days of each filter to be 94, 101, 120, 87, 93, 91, 105, 92, 91, and 100.

The range of effective days of the trial water filters will be the difference between the highest number given and the smallest number given.

Highest number = 120

Lowest number = 87

Range = 120 - 87 = 33

Answer:

1/2 inch per hour

My other answer got deleted lol

Hope This Helps!

At the rate 1/2 inches per hour does the candle burn.

Given that, \(5\frac{1}{2}\) inch candle burns down in 11 hours.

A rate is a special ratio in which the two terms are in different units.

In general, we can write down the formula for rate as the ratio between two quantities with various units. Putting this in the ratio format, we get,

Rate = Quantity 1 / Quantity 2

Here, \(5\frac{1}{2}=11/2\) inches

The rate candle burns down = Length of the candle ÷ Number of hours

Now, the rate candle burns down = 11/2 ÷ 11

= 11/2 × 1/11

= 1/2 inches per hour

Therefore, at the rate 1/2 inches per hour does the candle burn.

To learn more about the rate of burning visit:

https://brainly.com/question/28381137.

#SPJ2

The demand approximately decreases by 25% (3750/15000).

(A) To express x as a function of p, we need to isolate x on one side of the equation. Subtracting 0.001x from both sides, we get:

p = 40 - 0.001x

Adding 0.001x to both sides and then dividing by 0.001, we get:

x = (40 - p)/0.001

So, x is a linear function of p: x = 40/0.001 - p/0.001 = 40,000 - 1000p.

The domain of this function is all values of p that result in a non-negative value of x, since negative demand doesn't make sense in this context. Therefore, the domain is:

p ≤ 40/0.001, or equivalently, p ≤ 40,000.

(B) The formula for elasticity of demand is:

E(p) = (p/x) * (dx/dp)

where dx/dp is the derivative of x with respect to p. We already have x as a function of p, so we can find dx/dp by taking the derivative:

dx/dp = -1000

Plugging in p and x, we get:

E(25) = (25/(40,000 - 1000*25)) * (-1000) = -0.833

(C) When p = 25, we just need to plug it into the formula for elasticity:

E(25) = (25/(40,000 - 1000*25)) * (-1000) = -0.833

So, the elasticity of demand is approximately -0.833 when p = 25.

Finally, if the price is increased by 15%, we can approximate the change in demand by using the formula:

% change in demand ≈ % change in price * elasticity of demand

The % change in price is 15%, or 0.15 as a decimal. The elasticity of demand at the current price level is -1000p/(40,000 - 1000p), so we can plug in p = 25 to get:

% change in demand ≈ 0.15 * (-1000*25/(40,000 - 1000*25)) ≈ -0.36

Therefore, the demand would decrease by approximately 0.36% if the price is increased by 15%.

(A) To express the demand x as a function of the price p, we need to solve for x in the given equation p + 0.001x = 40. Subtract p from both sides to get:

0.001x = 40 - p

Now, divide by 0.001:

x(p) = (40 - p) / 0.001

The domain of this function is all values of p for which x(p) is defined. Since x can be any non-negative value, the domain is p≤40.

(B) To find the elasticity of demand E(p), use the formula:

E(p) = (p/x(p)) * (dx(p)/dp)

First, we need to find the derivative of x(p) with respect to p:

dx(p)/dp = -1/0.001 = -1000

Now, substitute the formula:

E(p) = (p/((40 - p)/0.001)) * (-1000)

Simplify the expression:

E(p) = -1000p / (40 - p)

(C) To find the elasticity of demand when p = 25, substitute 25 for p in the E(p) equation:

E(25) = -1000(25) / (40 - 25)
E(25) = -25000 / 15
E(25) = -5000 / 3

The elasticity of demand when p = 25 is -5000/3.

If the price is increased by 15%, the new price is p_new = 25 * 1.15 = 28.75. Now, find the change in demand:

Δx = x(25) - x(28.75)
Δx = (40 - 25) / 0.001 - (40 - 28.75) / 0.001
Δx = 15,000 - 11,250
Δx = 3,750

To learn more about equation visit;

brainly.com/question/29538993

#SPJ11

The doubling time for the bacteria population is 3 hours, as it takes 3 hours for the population to triple.

In the bacteria growing experiment, the biologist observed that the number of bacteria in the culture was tripling every 3 hours. This means that the bacteria population was increasing at a rate of 200% every 3 hours. After 15 hours, it was estimated that there were 2 million bacteria in the culture. This means that the bacteria population had doubled approximately 5 times in the 15 hour period. Therefore, the doubling time for the bacteria population is 3 hours, as it takes 3 hours for the population to double. For example, if the initial population size is 100, then the population size after 3 hours would be 200. This means that the bacteria population was doubling approximately every 3 hours. Doubling time is an important factor to consider when studying population growth, as it can help to predict the size of a population at a certain point in time. Additionally, understanding the doubling time of a population can help to understand the rate of growth and how quickly it may reach a certain size.

Learn more about hours here

https://brainly.com/question/13533620

#SPJ4

Answer:

b hpárrafo sobre mi casa

benglesio no seinew

Step-by-step explanation:

Answer:

I dont know if this is supposed to be solved a certain way for a class, but as a bargain shopper, this is what I would do to figure out the best value.

Step-by-step explanation:

First divide $10 by 4:   10.00/4=2.5 or $2.50 per card

Then, divide $14 by 6:  14.00/6=2.3333333 so about $2.33 per card

Now, just look at the two answers and see which one is less.

If you buy 4 cards for $10, you will pay $2.50 for each card and if you buy 6 cards for $14, you will pay about $2.33 for each card. Therefore, the better value would be the 6 cards for $14.

Answer:

they are equal

Step-by-step explanation:

the both are the same amount its 2.50 a card

Answer:

h= 180/41  

h=4 16/41

h≈4.390243902

Step-by-step explanation:

hope this helps

After solving the expression, the value obtained for the value of h will be equal to 4.5.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question, the given expression is,

16.5 + 2.75h = 9h + 7.5 - 4.25 h

2.75h + 4.25h - 9h = 7.5 - 16.5

-2h = -9

h = 4.5

To know more about expression:

https://brainly.com/question/14083225

#SPJ2

The given equation is Y = IOe' * (I) 10 (3) 27 (2) 18 (4) 52. We have to find the y-intercept of the given function.

The y-intercept is the point where the graph of the function intersects the y-axis. When a point lies on the y-axis, the x-coordinate of that point is 0. Therefore, to find the y-intercept of the function, we need to set x = 0 in the given equation. Thus,Y = IOe' *

To find the y-intercept of a function, we need to substitute 0 for the x-coordinate in the equation. The value we get as a result of the substitution is the y-intercept. In the given equation, the value of y, when x is 0, is IO. Therefore, the y-intercept of the function is IO. The given function Y = IOe' * (I) 10 (3) 27 (2) 18 (4) 52 is an exponential function. An exponential function is of the form y = ab^x, where a and b are constants and b is a positive number greater than 1. Exponential functions can be used to model growth and decay processes. In the given function, the base is e, which is approximately equal to 2.718. Therefore, the function is of the form y = ab^x, where a = IO and b = e. The y-intercept of the function is IO.

The y-intercept of the function Y = IOe' * (I) 10 (3) 27 (2) 18 (4) 52 is IO.

To know more about y-intercept visit:

brainly.com/question/14180189

#SPJ11

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

learn more about Gaussian distribution here: brainly.com/question/29734279

#SPJ11

When two lines intersect, exactly two pairs of vertical angles are formed. When two lines intersect, they form two pairs of adjacent angles. 8. 55°, 9. 128°, 10. 63°, 11. 25, 12. 15, 13. 20.

Adjacent angles are a pair of angles that share a common side and a common vertex (corner point), but do not overlap. In other words, adjacent angles are two angles that are side-by-side and do not have any interior points in common.

Adjacent angles are important in geometry and trigonometry because they form the basis for many angle relationships, such as complementary and supplementary angles. When two adjacent angles have a sum of 90 degrees, they are known as complementary angles, and when they have a sum of 180 degrees, they are known as supplementary angles.

8. The two angles are adjacent since they share a common side. The other angle is 90 - 35 = 55 degrees.

9. The two angles are vertical since they are opposite angles formed by the intersection of two lines. The other angle is also 128 degrees.

10. The two angles are supplementary since they are on the same line and add up to 180 degrees. The other angle is 180 - 117 = 63 degrees.

11. The two angles are vertical since they are opposite angles formed by the intersection of two lines. The other angle is also 75 degrees. Therefore, 4x - 25 = 75, so 4x = 100 and x = 25.

12. The two angles are in a right angle, so they are complementary and add up to 90 degrees. Therefore, 4x + 2x = 90, so 6x = 90 and x = 15.

13. The two angles are adjacent since they share a common vertex and a common side. Therefore, the sum of the two angles is 180 degrees. We know that one angle is 7x degrees and the other angle is x + 20 degrees. Therefore, we can write:

7x + x + 20 = 180

Simplifying this equation, we get:

8x + 20 = 180

Subtracting 20 from both sides, we get:

8x = 160

Dividing both sides by 8, we get:

x = 20

Therefore, the other angle on the adjacent side is x + 20 = 20 + 20 = 40 degrees.

When two lines intersect, they form four angles at the intersection point. These four angles are called vertical angles, and they are formed by the intersection of two non-adjacent lines. Therefore, when two lines intersect, exactly two pairs of vertical angles are formed.

In addition to vertical angles, two lines intersecting also form adjacent angles. Adjacent angles are formed by the intersection of two adjacent lines. When two lines intersect, they form two pairs of adjacent angles. Each pair of adjacent angles shares a common vertex and a common side.

To know more about angles visit:

https://brainly.com/question/18045519

#SPJ1

i solved it

you graph it :)

Answer: W

Step-by-step explanation:

i took the test

Answer:

\(64 \frac{1 3}{21} ft {}^{2} \)

Step-by-step explanation:

Area of the garden:

\((8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)\)

Answer:

52 Degrees

Step-by-step explanation:

Subtract 29 (lower number) from 81 (higher number). This will often give you the difference (52) between the two measurements.

Answer:

No

Step-by-step explanation:

if x = 15, 8 x 15 = 120

Answer:

4

Step-by-step explanation:

The bicycles produced from the beginning of week 2 to the end of week 3 are 2926.

To find the number of bicycles produced from the beginning of week 2 to the end of week 3, we will use the given production function P(t) = 95 + 588t^2 - 14t, where t is the number of weeks.

First, we need to find the number of bicycles produced by the end of week 2 and week 3.

To do this, we'll plug in t = 2 and t = 3 into the production function:

P(2) = 95 + \(588(2)^{2}\) - 14(2) = 95 + 588(4) - 28 = 95 + 2352 - 28 = 2419 bicycles

P(3) = 95 + \(588(3)^{2}\) - 14(3) = 95 + 588(9) - 42 = 95 + 5292 - 42 = 5345 bicycles

Now we need to find the difference between the bicycles produced by the end of week 3 and those produced by the end of week 2:

Number of bicycles produced from the beginning of week 2 to the end of week 3 = P(3) - P(2) = 5345 - 2419 = 2926 bicycles

So, the factory produced 2926 bicycles from the beginning of week 2 to the end of week 3.

Know more about Production function here:

https://brainly.com/question/31429707

#SPJ11

the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).To find the location of the receiver, we first need to determine the equation of the paraboloid.

The standard equation for a paraboloid of revolution with a vertical axis is:

z = \((x^2 + y^2)\)/(4f)

Where:

z is the height at any point (x, y) on the paraboloid.

x and y are the horizontal coordinates of the point.

f is the focal length of the paraboloid, which is half the depth of the dish.

In this case, the dish is 6 feet across at its opening, so the diameter is 6 feet and the radius is 3 feet. Therefore, the maximum value of x and y is 3 feet. The depth of the dish is given as 2 feet.

Using these values, we can solve for the focal length:

2 = \((3^2 + 3^2)\)/(4f)

2 = 18/(4f)

f = 18/8 = 9/4 = 2.25 feet

Now that we have the value of f, we can find the location of the receiver, which is placed at the focus of the paraboloid. The focus is located at (0, 0, f).

Therefore, the receiver is located at (0, 0, 2.25 feet) or (0, 0, 27 inches).

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

learn more on equation here: https://brainly.com/question/29171341

#SPJ1

Answer:

The angles are supplementary.

x = 31

Step-by-step explanation:

The way the two angles lay together and make a straight line shows that they are supplementary. Supplementary means that they add up to 180°

Use this idea to write an equation.

2x + 3x + 25 = 180

combine like terms

5x + 25 = 180

subtract 25

5x = 155

divide by 5

x = 31

Answer:

x = 31

Step-by-step explanation:

(3x + 25) and 2x are a linear pair and are supplementary, that is

3x + 25 + 2x = 180

5x + 25 = 180 ( subtract 25 from both sides )

5x = 155 ( divide both sides by 5 )

x = 31

Answer:

x represents the trip distance.

x = 300 miles

Rate of bus = 50 mph

Rate of train = 75 mph

Step-by-step explanation:

Let the trip distance be x miles.

\( \because \: speed = \frac{distance}{time} \\ time \: taken \: by \: bus \: to \: complete \: \\ the \: trip \: = 6 \: hours \\ \therefore \: speed \: of \: bus = \frac{x}{6} \: mph \\ \\ time \: taken \: by \: train \: to \: complete \: \\ the \: same \: trip \: = 4 \: hours \\ \therefore \: speed \: of \: train = \frac{x}{4} \: mph \\ \\ \because \: \: speed \: of \: train \\ =speed \: of \: bus \: + 25 \: mph \\ \therefore \: \frac{x}{4} = \frac{x}{6} + 25 \\ \\ \therefore \: \frac{x}{4} - \frac{x}{6} = 25 \\ \\ \therefore \: \frac{6x - 4x}{4 \times 6} = 25 \\ \\ \therefore \: \frac{2x}{24} = 25 \\ \\\therefore \: \frac{x}{12} = 25 \\ \\ \implies \: x = 25 \times 12 \\ \implies \: x =300 \: miles \\ \\ rate \: of \: bus = \frac{x}{6} = \frac{300}{6} = 50 \: mph\\ \\ rate \: of \: train = \frac{x}{4} = \frac{300}{4} = 75 \: mph\)

Answer:

The last block where is says y=13-2x and 4x-y=-1 is the correct answer

I got a 100% in this test. It is right

Plz give brainliest :)

To determine the number of high fives that will be exchanged, we need to find the total number of unique pairs of students in Ronnie's class Since there are 20 people in the class, each person .

To calculate the number of unique pairs, we can use the formula for combinations, which is nC2, where n is the number of people .So, for Ronnie's class with 20 people, the number of high fives exchanged is:20C2 = (20 * 19) / (2 * 1) = 190.Therefore, a total of 190 high fives will be exchanged in Ronnie's class on National High Five Day. we need to find the total number of unique pairs of students in Ronnie's class Since there are 20 people in the class, each person needs to give a high five to every other person, excluding themselves.

learn more about unique here:

https://brainly.com/question/29656818

#SPJ11

Answer:

9 degrees

Step-by-step explanation:

Answer:

480 g of cereal ...........